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2198040 = 2335131409
BaseRepresentation
bin1000011000101000011000
311010200010220
420120220120
51030314130
6115040040
724453165
oct10305030
94120126
102198040
111271469
128a0020
135bc620
1441306c
152d6410
hex218a18

2198040 has 64 divisors (see below), whose sum is σ = 7106400. Its totient is φ = 540672.

The previous prime is 2198039. The next prime is 2198057. The reversal of 2198040 is 408912.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2198040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856 + ... + 2264.

22198040 is an apocalyptic number.

2198040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553200).

2198040 is an abundant number, since it is smaller than the sum of its proper divisors (4908360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2198040 is a wasteful number, since it uses less digits than its factorization.

2198040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2198040 is about 1482.5788343289. The cubic root of 2198040 is about 130.0205095846.

The spelling of 2198040 in words is "two million, one hundred ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1409 1560 2818 4227 5636 7045 8454 11272 14090 16908 18317 21135 28180 33816 36634 42270 54951 56360 73268 84540 91585 109902 146536 169080 183170 219804 274755 366340 439608 549510 732680 1099020 2198040